यदि \(x\in(1,4)\) है, तो \(\frac{x-1}{3}\) किस अंतराल में होगा?
If \(x\in(1,4)\), in which interval will \(\frac{x-1}{3}\) lie?
Explanation opens after your attempt
Correct Answer
A. ((0,1))
Concept
From (1<x<4), we get (0<x-1<3), then dividing by positive (3) gives \(0<\frac{x-1}{3}<1\). Division by a positive number does not change the sign.
Why this answer is correct
The correct answer is A. ((0,1)). From (1<x<4), we get (0<x-1<3), then dividing by positive (3) gives \(0<\frac{x-1}{3}<1\). Division by a positive number does not change the sign.
Exam Tip
(1<x<4) से (0<x-1<3), फिर धनात्मक (3) से भाग देने पर \(0<\frac{x-1}{3}<1\) मिलता है। धनात्मक भाग में चिन्ह नहीं बदलता।
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